i need help i dont quite understand this and would be happy if someone helped​

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer:

the answer is 2.828 or 99/35

Step-by-step explanation:

we convert -3.3 to fraction

-33/10*-6/7

we multiply

198/70

2.8285

2.83

Answer: 20

Step-by-step explanation:

Multiply 2.4*10-4

Calculate 24-4

the answer is (12x^10000)/5

Answer:

20.8

Step-by-step explanation:

so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three

so then x would be equal

24/12=12 root three which is equal to 20.8

Answer:

it is 7+7+3+3=20

Step-by-step explanation:

Answer:

x = 29°

Step-by-step explanation:

The probability that the ball being drawn is white is 0.2202.

To find the probability of drawing a white ball from urn A after transferring two balls from urn B to urn A, we need to consider the different possible scenarios for the transferred balls and calculate the probability for each scenario.

Scenario 1: Two green balls are transferred from urn B to urn A.
In this case, urn A will have 7 green balls and 6 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 6/13.

Scenario 2: One green ball and one white ball are transferred from urn B to urn A.
In this case, urn A will have 6 green balls and 7 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 7/13.

Scenario 3: Two white balls are transferred from urn B to urn A.
In this case, urn A will have 5 green balls and 8 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 8/13.

To find the overall probability of drawing a white ball from urn A, we need to find the probability of each scenario occurring and multiply it by the probability of drawing a white ball in that scenario.

The probability of scenario 1 occurring is (8/12)(7/11) = 56/132.
The probability of scenario 2 occurring is 2(8/12)(4/11) = 64/132.
The probability of scenario 3 occurring is (4/12)(3/11) = 12/132.

The overall probability of drawing a white ball from urn A is:
(56/132)(6/13) + (64/132)(7/13) + (12/132)(8/13) = 378/1716 = 0.2202.

Therefore, the probability of drawing a white ball from urn A after transferring two balls from urn B to urn A is 0.2202.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

9514 1404 393

Answer:

  392 7/50

Step-by-step explanation:

The fraction part is fourteen hundredths, or 14/100. Removing a common factor of 2 from numerator and denominator reduces this to 7/50. Then the mixed number is ...

  392.14 = 392 7/50

Answer:

h = \(\frac{- 275}{12}\)

Step-by-step explanation:

85 = 360 + 12h

85 - 360 = 360 - 360 + 12h

- 275 = 12h

- 275 ÷ 12 = 12h ÷ 12

h = - 275/12

Answer:

15%.

Step-by-step explanation:

100 * 18/120

= 1800/120

= 15%

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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The correct equation is:  5/6 - 1/6 = 4/6

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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Answer:

Intital investment= £6,911.57

Step-by-step explanation:

Giving the following information:

Future Value (FV)= £8,001

Number of periods (n)= 3 years

Interest rate (i)= 5% = 0.05 compounded annually

To calculate the initial investment (PV) needed to reach £8,001 (over £8,000) in 3 years, we need to use the following formula:

PV= FV / (1+i)^n

PV= 8,001 / (1.05^3)

PV= £6,911.57

Answer:

jordans van

Step-by-step explanation:

yes satiscal

Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

What are basic arithmetic operations?

Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.

To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:

Total points needed = (number of games + 1) × average score goal - total points scored so far

In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:

105 + 95 + 97 + 82 + 110 = 489

Substituting these values into the formula, we get:

Total points needed = (6) × (100) - 489

Total points needed = 600 - 489

Total points needed = 111

Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.

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Answer:

the allele for unattached earlobes is dominant over the allele for attached earlobes. In a population if “500 individuals”, 25 percent show the recessive phenotype. How many individuals would you expect to be heterozygous for this trait?

possible answers:

• 75

•125

•200

•25

Step-by-step explanation:

please mark me as brainliest

Answer:

what is brainwnnkj?

Step-by-step explanation:

Therefore, there are 26 mystery boxes and 39 stuffed animals in the claw arcade machine.

Probability is the measure of the likelihood that an event will occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probability is used to describe and predict the outcomes of random events, such as flipping a coin or rolling a die. It is an important concept in many fields, including mathematics, statistics, science, and engineering. Probability can be calculated using various methods, such as counting the number of possible outcomes, using theoretical models such as probability distributions, or conducting experiments to collect data. By understanding probability, we can make more informed decisions and better understand the world around us.

Here,

Let's call the number of mystery boxes in the machine "m" and the number of stuffed animals "s".

From the problem, we know that:

s + m = 63 (the total number of items in the machine is 63)

And we also know that the probability of winning a stuffed animal is twice as high as the probability of winning a mystery box. Let's represent the probability of winning a mystery box as p. Then the probability of winning a stuffed animal is 2p.

The sum of the probabilities of winning a mystery box or a stuffed animal must be 1, since there are no other possibilities. Therefore:

p + 2p = 1

Simplifying this equation, we get:

3p = 1

p = 1/3

So the probability of winning a mystery box is 1/3, and the probability of winning a stuffed animal is 2/3.

Now we can set up another equation based on the probabilities:

2s = 3m

Simplifying this equation, we get:

s = (3/2)m

We can use this equation along with the first equation to solve for s and m:

s + m = 63

(3/2)m + m = 63

(5/2)m = 63

m = 63(2/5)

m = 25.2

Since we can't have a fraction of a mystery box, we need to round this up to the nearest whole number. Therefore, there are 26 mystery boxes in the machine.

We can use the equation s = (3/2)m to find the number of stuffed animals:

s = (3/2)(26)

s = 39

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The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

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Answer:

Step-by-step explanation:

In order for lines to be parallel they have to have the same slope. The first 2 equations there are solved for 5y, so let's do that to the last one--solve it for 5y--and put them all in the same order (the order that the first one is in; they will all look identical then). Equation #2 in the same order as in #1: 5y = 3x - 4. Equation #3 then becomes 5y = 3x - 1. Equations #2 and 3 have the same slope.

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer:3.42

Step-by-step explanation:to get the answer to a area equation you need to multiply the length by the width.

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Based on the number of throws Luke had and the percentage he made, the number he made was 50 throws.

There were 200 free throws in the season and Luke was able to make about 25% of them.

The formula to find this is therefore:

= Number of free throws x Percentage made

Solving gives:

= 200 x 25%

= 50 throws

In conclusion, Luke made 50 throws.

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Answer:

1/4

Step-by-step explanation:

it goes up 1 and over 4 between the point on the left and the point on the right so put that into slope for and its 1/4

Answer:

7x - 3

hoped i helped

The final expression after applying the distributive property is 7x-3

According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Given here: The expression as 4+7(x-1)

The distributive property tells us how to solve expressions in the form of a(b + c).  

Now applying distributive property and solving for like terms we get :

4+7(x-1) =4+7x-7

            =7x-3

Thus the distributive property rule of real numbers is used to simplify the given expression.

Hence, The final expression after applying the distributive property is 7x-3

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Answer:

u need ur school email to take it

After 50 minutes of calls, Carmen will have $22.50 left on the prepaid phone card.

After Carmen uses the prepaid phone card for 50 minutes of calls, we can calculate the credit left on the card by substituting x = 50 into the given function:

C(x) = 30.00 - 0.15x

C(50) = 30.00 - 0.15 × 50

C(50) = 30.00 - 7.50

C(50) = 22.50

After using the card for 50 minutes of calls, Carmen will have $22.50 credit remaining on the card.

This means that Carmen has spent a total of 50 × 0.15 = $7.50 on the calls.

Subtracting this amount from the initial credit of $30.00, we find that Carmen has $22.50 left.

It's important to note that the cost per minute for calls is 15 cents or $0.15. So for every minute of call usage, Carmen's credit decreases by $0.15. Multiplying the number of minutes by the cost per minute gives us the total amount spent on calls.

Carmen has used the card for 50 minutes, so the total cost of the calls is 50 × $0.15 = $7.50.

Subtracting this amount from the initial credit of $30.00 gives us the remaining credit of $22.50.

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